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122,267

122,267 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,267 (one hundred twenty-two thousand two hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD9B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
762,221
Square (n²)
14,949,219,289
Cube (n³)
1,827,796,194,808,163
Divisor count
2
σ(n) — sum of divisors
122,268
φ(n) — Euler's totient
122,266

Primality

122,267 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122267
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,267)
1 × 122267
First multiples
122,267 · 244,534 (double) · 366,801 · 489,068 · 611,335 · 733,602 · 855,869 · 978,136 · 1,100,403 · 1,222,670

Sums & aliquot sequence

As consecutive integers: 61,133 + 61,134

Continued fraction of √n

√122,267 = [349; (1, 2, 349, 2, 1, 698)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred sixty-seven
Ordinal
122267th
Binary
11101110110011011
Octal
356633
Hexadecimal
0x1DD9B
Base64
Ad2b
One's complement
4,294,845,028 (32-bit)
Scientific notation
1.22267 × 10⁵
As a duration
122,267 s = 1 day, 9 hours, 57 minutes, 47 seconds
In other bases
ternary (3) 20012201102
quaternary (4) 131312123
quinary (5) 12403032
senary (6) 2342015
septenary (7) 1016315
nonary (9) 205642
undecimal (11) 83952
duodecimal (12) 5a90b
tridecimal (13) 43862
tetradecimal (14) 327b5
pentadecimal (15) 26362
Palindromic in base 15

As an angle

122,267° = 339 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσξζʹ
Mayan (base 20)
𝋯·𝋥·𝋭·𝋧
Chinese
一十二萬二千二百六十七
Chinese (financial)
壹拾貳萬貳仟貳佰陸拾柒
In other modern scripts
Eastern Arabic ١٢٢٢٦٧ Devanagari १२२२६७ Bengali ১২২২৬৭ Tamil ௧௨௨௨௬௭ Thai ๑๒๒๒๖๗ Tibetan ༡༢༢༢༦༧ Khmer ១២២២៦៧ Lao ໑໒໒໒໖໗ Burmese ၁၂၂၂၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 122263, sexy with 122273.

Hex color
#01DD9B
RGB(1, 221, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.155.

Address
0.1.221.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.155

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,267 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 122267 first appears in π at position 294,578 of the decimal expansion (the 294,578ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.